For a regularized SENSE-based method [1]}, the coil sensitivity map is taken as known, and \(\mathbb {X}\mapsto \mathbb {Y}\)  is a deterministic injection. The general optimization formulation of regularized SENSE is
\(\min _\mathbb {X} \mathcal {D}(\mathcal {A}(\mathbb {X}),\mathbb {Z})+\lambda \mathcal {C}(\mathbb {X})\) 
